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Finding the Third Proportional to 88,185.38 and 190,309.50

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Solution

The third proportional to 88,185.38 and 190,309.50 is: 410,699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,185.38 : 190,309.50 = 190,309.50 : x
  2. Step 2: Convert to fraction form
    88,185.38/190,309.50 = 190,309.50/x
  3. Step 3: Cross multiply
    88,185.38x = 190,309.50 × 190,309.50
  4. Step 4: Simplify right side
    88,185.38x = 36,217,705,790.25
  5. Step 5: Solve for x
    x = 36,217,705,790.25/88,185.38
  6. Step 6: Final answer
    x = 410,699.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.